Examples illustrate the use of APL for teaching selected topics from logic, set theory, algebra, number theory, and calculus using the glass box approach. (MP)

A course on ordinary differential equations preceding multivariable calculus can be made to suit present-day engineering curricula and resolve certain difficulties concerning the undergraduate engineering student's motivation, technical skill, ability to retain and use mathematical material, and potential for further growth. (Author/MP)

This paper outlines a technique for teaching a rigorous course in calculus and differential equations which stresses applicability of the mathematics to problems in civil engineering. The method involves integration of subject matter and team teaching. (SD)

Presented are reviews of several microcomputer software programs. Included are reviews of: (1) Microstat (Zenith); (2) MathCAD (MathSoft); (3) Discrete Mathematics (True Basic); (4) CALCULUS (True Basic); (5) Linear-Kit (John Wiley); and (6) Geometry Sensei (Broderbund). (RH)

Mathematics is considered a performing art. Examples illustrating this view are presented. Activities discussed are from the Madison Project materials and the mathematics program at University High School in Urbana, Illinois. Activities stress inventing strategies for attacking problems for elementary and secondary school mathematics. (RH)

Practical tips are presented for teaching concepts related to percentage and the integration of powers of "e." (PK)

Considers a trigonometric solution to a standard calculus minimization problem. Presents a geometric solution which can be used to solve other trigonometric or algebraic problems. (PK)

Describes the approach taken and materials used for introducing computer symbolic mathematics to undergraduate calculus students. Explains the features of the muMATH software package and reviews the modifications that were made to the program. Includes an exercise on plotting graphs. (ML)

Answers and justifications for an interesting problem on the Advanced Placement Calculus AB Examination are discussed. The problem provides diverse ways in which students can gain appreciation and understanding for the subject. (MNS)

Describes the principles underlying computer programs designed to improve undergraduate calculus instruction. The programs were produced for teacher use on a single microcomputer for when there are not enough microcomputers available to allow students to have access to them. (JN)

Results from a large-scale study of sixth-form and college students' understanding of elementary calculus and mathematical ideas underlying calculus are presented. Difficulties with speed, tables, linear graphs, curves and differences, the tangent as the limit, and the average rate of change are each discussed. (MNS)

We expand the theoretical perspective based on the notions of description and conflict, which was previously used to the learning of functions and calculus, to the learning of deductive geometry supported by Dynamic Geometry (DG) environments. Based on prior studies on functions and on the potential role of a DG software, we analyze a case study…

The metaphorical nature of first-year calculus students' reasoning about limit concepts is explored using an instrumentalist approach. Analysis of written and verbal language reveals that, while these students used motion terminology profusely when discussing limits, it was typically not intended to signify actual motion and did not play a…

The Cabri programming language is a dynamic geometry software used all around the world by many of teachers, students, and researchers in mathematics. This paper presents examples of using Cabri and graphing calculators as a tool to practice mathematics and provides ways that mathematics could be approached, taught, and received in a way…

This study explores computer-meditated tutoring and a traditional tutoring model that is carried out on a face-to-face basis and investigates whether there is a difference in high school students' mathematics achievement. In this study, there was no statistically significant difference between the face-to-face and the computer-mediated tutored…